The structured distance to nearly normal matrices (Q964125)
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scientific article; zbMATH DE number 5692979
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The structured distance to nearly normal matrices |
scientific article; zbMATH DE number 5692979 |
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The structured distance to nearly normal matrices (English)
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14 April 2010
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The author studies the class of complex tridiagonal \(n \times n\) matrices \(T\) such that \(T^*T-T T^*=\Delta\), where \(\Delta\) is a fixed real diagonal matrix. Some results concerning the characterization of these matrices, with respect to the diagonal matrix \(\Delta\), together with various distance-type formulas based on the Frobenius norm are also derived.
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nearness to normality
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tridiagonal matrix
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Krein spaces
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eigenvalue estimation
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Gershgorin type sets
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